Multivariable Calculus Unit 1: Exploring (x,y,z) Space and R3 Basics π
Kick off your multivariable calculus journey with Lecture 1! Discover the structure of (x,y) and (x,y,z) spaces, points, the distance formula, and more in R3.

Dr. Bevin Maultsby
27.5K views β’ Jul 28, 2020

About this video
Welcome to Lecture 1 of Multivariable Calculus! This video is about (x,y) and (x,y,z) space. We look at the layout of R3, points, the distance formula, circles, spheres, and circular cylinders.
In this video we explore the jump from single-variable calculus to multivariable calculus:
- RΒ² (2D space) vs RΒ³ (3D space)
- Equations of lines, planes, circles, and spheres
- Octants in RΒ³
- Distance formula and its applications
This course is designed for students taking Calculus III. If you are visiting my channel, please subscribe and check out the rest of my lectures on Multivariable Calculus:
Next lecture: https://youtu.be/v3Lg2lH4DEM
Playlist: https://www.youtube.com/playlist?list=PLBEl4BT8wUgOqJCBijQxClMIuumgtMinc
Subscribe for more series: @bevinmaultsby
#mathematics #math #multivariablecalculus #calculus #vectorcalculus #iitjammathematics #calculus3
In this video we explore the jump from single-variable calculus to multivariable calculus:
- RΒ² (2D space) vs RΒ³ (3D space)
- Equations of lines, planes, circles, and spheres
- Octants in RΒ³
- Distance formula and its applications
This course is designed for students taking Calculus III. If you are visiting my channel, please subscribe and check out the rest of my lectures on Multivariable Calculus:
Next lecture: https://youtu.be/v3Lg2lH4DEM
Playlist: https://www.youtube.com/playlist?list=PLBEl4BT8wUgOqJCBijQxClMIuumgtMinc
Subscribe for more series: @bevinmaultsby
#mathematics #math #multivariablecalculus #calculus #vectorcalculus #iitjammathematics #calculus3
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Video Information
Views
27.5K
Likes
321
Duration
19:21
Published
Jul 28, 2020
User Reviews
4.4
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